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Finding the Fourth Proportional to 10,466.82, 15,690.51 and 7,181.46

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Solution

The fourth proportional to 10,466.82, 15,690.51 and 7,181.46 is: 10,765.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.82 : 15,690.51 = 7,181.46 : x
  2. Step 2: Convert to fraction form
    10,466.82/15,690.51 = 7,181.46/x
  3. Step 3: Cross multiply
    10,466.82x = 15,690.51 × 7,181.46
  4. Step 4: Simplify right side
    10,466.82x = 112,680,769.94
  5. Step 5: Solve for x
    x = 112,680,769.94/10,466.82
  6. Step 6: Final answer
    x = 10,765.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.